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Finding the Fourth Proportional to 3,601.42, 5,402.86 and 1,136.18

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Solution

The fourth proportional to 3,601.42, 5,402.86 and 1,136.18 is: 1,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.42 : 5,402.86 = 1,136.18 : x
  2. Step 2: Convert to fraction form
    3,601.42/5,402.86 = 1,136.18/x
  3. Step 3: Cross multiply
    3,601.42x = 5,402.86 × 1,136.18
  4. Step 4: Simplify right side
    3,601.42x = 6,138,621.47
  5. Step 5: Solve for x
    x = 6,138,621.47/3,601.42
  6. Step 6: Final answer
    x = 1,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.